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      Question

      In a container, oil and diesel are mixed in the ratio 3:2.

      If 9 litres oil and 4 litres diesel are added, the ratio becomes 5:3. Determine the original quantity of mixture.
      A 70 Correct Answer Incorrect Answer
      B 45 Correct Answer Incorrect Answer
      C 35 Correct Answer Incorrect Answer
      D 28 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let oil = 3y, diesel = 2y

      (3y + 9):(2y + 4) = 5:3

      ⇒ 3(3y + 9) = 5(2y + 4)

      ⇒ 9y + 27 = 10y + 20

      ⇒ y = 7

      Initial quantity = 3y + 2y = 5y = 5 × 7 = 35 litres

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